A television 75 watt ,a refrigerator 1.2kilowatt ,an electric kettle 650 watt and 10 lamps 40 watt each are connected in series in a house how much will it cost the housekeeper to switch on all the he appliances for 24hours if the cost of electricity is 15 kobo per kilowatt-hour
First, we need to calculate the total power consumption of all the appliances connected in series. Since the appliances are connected in series, the total power consumption will be the sum of the power consumption of each individual appliance.
Television: 75 watts
Refrigerator: 1.2 kilowatts = 1.2 * 1000 = 1200 watts
Electric kettle: 650 watts
Lamps: 10 lamps * 40 watts = 400 watts
Total power consumption = 75 + 1200 + 650 + 400 = 2325 watts
Now, we need to convert the power consumption to kilowatts and calculate the total energy consumption in kilowatt-hours.
Total power consumption in kilowatts = 2325 watts / 1000 = 2.325 kilowatts
Energy consumption = total power consumption * time
= 2.325 kilowatts * 24 hours
= 55.8 kilowatt-hours
Finally, we can calculate the cost of electricity:
Cost = Energy consumption * cost per kilowatt-hour
= 55.8 kilowatt-hours * 15 kobo
= 837 kobo or ₦8.37
So, it will cost the housekeeper ₦8.37 to switch on all the appliances for 24 hours.
To calculate the cost of switching on all the appliances for 24 hours, we need to determine the total power consumption in kilowatt-hours (kWh) and multiply it by the cost of electricity.
First, let's convert the power ratings of the appliances to kilowatts (kW):
- Television: 75 watts = 0.075 kW
- Refrigerator: 1.2 kilowatts = 1.2 kW
- Electric kettle: 650 watts = 0.65 kW
- Lamps: 10 lamps * 40 watts = 400 watts = 0.4 kW
Next, let's calculate the total power consumption by adding up the power ratings of all the appliances:
Total power consumption = 0.075 kW + 1.2 kW + 0.65 kW + 0.4 kW = 2.325 kW
Since the appliances are connected in series, the total power consumption remains the same for all the appliances.
Now, let's calculate the total energy consumption for 24 hours:
Total energy consumption = 2.325 kW * 24 hours = 55.8 kWh
Finally, we can calculate the cost of electricity by multiplying the total energy consumption by the cost per kilowatt-hour:
Cost of electricity = 55.8 kWh * 15 kobo/kWh = 837 kobo or 8.37 Naira
Therefore, it will cost the housekeeper 8.37 Naira to switch on all the appliances for 24 hours.